ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

The extraction of cube root of a given number is a

• Unary Operation A
• Binary Operation B
• Relation C
• None of these D

If there is one-one correspondence between A and B, then we write.

• A = B A
• A⊆ B B
• A⊇ B C
• A ∼ B D

The function whose range consists of just one element is called

• One-One Function A
• Identity Function B
• Onto Function C
• Constant Function D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

• 
  A
• 
  B
• 
  C
• 
  D

• Addition A
• Subtraction B
• Multiplication C
• None of these D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D

If C={p/p < 18, p is a prime number}, then C =

• {2,3,4,.........17} A
• {2,4,6,8................16} B
• {1,3,5,7,9,11,13,15,17} C
• {3,6,9,12,15} D

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

• A is proper subset of B A
• A is an improper subset of B B
• A is equivalent to B C
• B is subset of A D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

The graph of a quadratic function is

• Circle A
• Ellipse B
• Parabola C
• Hexagon D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

• 4 A
• 3 B
• 2 C
• 1 D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

{x : xε Z and x < 1} is

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

The set R is ______ w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

Given X, Y are many two sets such that number of elements in X = 18, number of elements in set Y = 24, and number of elements in set X ∪ Y = 40, then number of elements in set X + Y =

• 3 A
• 1 B
• 2 C
• 4 D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

• A A
• B B
• A' C
• None of these D

• A A
• B B
• A'B' C
• B'A D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D